Answer:
The answer is "[tex]8.5\times 10^{-9}[/tex]".
Step-by-step explanation:
Following are the calculation of the multinomial distribution probability:
[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]
[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]
The dot plot shows the number of books Melanie's classmates have read. Approximately what percent of Melanie’s classmates have read more than 7 books
Answer:
.30
Step-by-step explanation:
Find the value of x.
What theorems would/could you use to find x?
Thank you in advance
Answer:
a. Linear pair theorem
b. x = 40
Step-by-step explanation:
a. x° and (4x - 20)° are angles on a straight line, so, they are a linear pair. Therefore, we would apply the linear pair theorem, which says the sum of a linear pair gives us 180°.
b. x° + (4x - 20)° = 180° (linear pair theorem)
Solve for x
x + 4x - 20 = 180
5x - 20 + 20 = 180 + 20
5x = 200
5x/5 = 200/5
x = 40
Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mushrooms, S for shrimp, E for eggs, I for Italian, and H for honey mustard. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, mushrooms. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: Italian, honey mustard.
Answer:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
Step-by-step explanation:
Given
Salad Meats Dressings
O = Olives S = Shrimp I = Italian
M = Mushroom E = Egg H = Honey mustard
To determine the sample space, we simply select one from each column.
Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI
So, the following sample space exists:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
what is the total surface area of the rectangle prism? Help me please someone ASAP!
Answer:
B) 256
Step-by-step explanation:
w = 4
l = 12
h = 5
Formula:
SA = 2(wl + hl + hw)
SA = 2(4*12 + 5*12 + 5*4)
SA = 2(48 + 60 + 20)
SA = 2(128)
SA = 256
PLEASE HALP ALL MY POINTS AND BRAINIEST
Answer:
A
Step-by-step explanation:
PLEASE HELP ME!!!!!
sin(a-28)=cos4
a=?
Answer:
sin(a−28)=cos(4)
sin(a−28)=−0.653644
Step-by-step explanation:
Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.
9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.
Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all votes.
Answer:
More than half
Step-by-step explanation:
10/10 would be one whole, and half of ten is 5, which makes 5/10 equal to one half. 7 is greater than 5, so that means 7/10 is more than one half. Hope this helps!
so uh, I took a test and I got this question wrong. I cant tell what the right answer is, and I want to learn how to do it, but I dont know. I was hoping that maybe you could help, thanks!
note: the first drop down options are
angle b: 59, 63, 90
angle F: 59, 63, 90
Answer:
Use the Triangle Sum Theorem (all three angles inside a triangle add up to 180 degrees)
A is 27, C is 90 degrees (right angle) , B is unknown.
Now add. 117+B=180
B is 63 degrees.
D is 31 degrees, E is 90 degrees. F is unknown.
Add.
31+90+F=180
121+F=180
F is 59.
Step-by-step explanation:
Answer:
B is 63
F is 59
For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
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what is the measure of angle k?
Answer:
59°
Step-by-step explanation:
a+16+a-18=180
2a-2=180
2a=182
a=91
n=91+16=107
m=91+30=121
l=91-18=73
107+121+73=301
K=360-301=59
Ms. Scherbauer and her family go out to dinner and spend $65.20 on their meal. If they want to leave their waitress a 20% tip, how much do they pay in total?
Answer:
$78.24
Step-by-step explanation:
Here are Xavier's bowling scores:
132, 140, 130, 190, 112, 200, 185, 172, 163,
151, 149
What is the upper quartile?
helppp
Answer:
UQ = 185
Step-by-step explanation:
the median separates the data set into the lower quartile and upper quartile
The median of this data set is 151
The lower quartile is the median of the lowest five values, or 132
The upper quartile is the median of the highest five values, or 185
The upper quartile score for highest half of the score is 185.
What is median?
A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
For the given situation,
Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.
Arrange this scores in the ascending order to find the median.
⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].
There are totally 11 scores.
So the median is middle most number, that is 5th score in the list.
The median is [tex]151[/tex].
The scores after 151 are highest half scores. Now there are five scores.
Upper quartile scores list are [tex]163,172,185,190,200[/tex].
Thus, the middle most score [tex]185[/tex] is the upper quartile score.
Hence we can conclude that the upper quartile score for highest half of the score is 185.
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Plz I want the answer quickly!!
Answer:
See uploaded image
Step-by-step explanation:
The 3 right angles are WZY, YZX, and WYX. Sides WX, YW, and YX are similar on their respective similar triangles
Hey please can someone help me and thank you
Step-by-step explanation:
first change meter to centimeters
2.5×100= 250
60+35+90=185
250 - 185= 65cm
65 is the final answer
meter to centimeters
2.5×100= 250
60+35+90=185
250 - 185= 65cm
= 65cm
Pleeease mark brainliest (it would make me super happy :))
Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter
Answer:
angle 7
Step-by-step explanation:
Answer:
angle 7 angle forms a pair of alternate
exterior angles with angle 2.
Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.
Answer:
i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it
Step-by-step explanation:
Distribute: (t + p)4
Answer:
4t+4p
Step-by-step explanation:
If it's distribution you just multiply a term over several other terms, you multiply each of the other terms by the first term.
Some entrepreneurs wish to establish a restaurant in a central location so that it will serve three suburbs. On a rectangular grid with axes labelled X1 (horizontal) and X2 (vertical), the centres of the three suburbs are located at (1,2, (6,18), and (12,8). All roads run east-west (parallel with the X1 axis) or north-south (parallel with the X2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is |12- 6| + | 8-18|= 6 +10 =16.
Required:
a. Formulate the restaurant location problem as a goal programming model.
b. Use the Excel Solver to determine the best location for the restaurant.
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Need help please anyone
9514 1404 393
Answer:
A) The angles marked ∠7 and ∠8 are vertical angles.
B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
C) y = 24; ∠7 = ∠8 = 89°
Step-by-step explanation:
A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.
__
B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
__
C) (5y-29)° = (3y+19)°
2y = 48 . . . . . . . . . . . . divide by °, add 29-3y
y = 24 . . . . . . . . . divide by 2
Angles 7 and 8 are supplementary to the angles marked with expressions in y.
∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°
∠7 = ∠8 = 89°
HURRY!!!! MERELY 5 MINUTES BEFORE I DELETE THIS!!!!!!!
1) Solve this equation mentally: 247 + c = 458
2) Now rewrite the equation as a subtraction equation.
Answer:
1)247 + 211 = 458
2)458 - 211 = 247
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can subtract 247 on both sides
247 + c = 458
-247 -247
----------------------
c=211
Rewritten equation= c= 458-247 OR 458-c=247
Hope i helped, Brainliest would be appreciated!
Have a great day!
-Aadi x
ok I really need help on this !
Answer:
height = 20 km
Step-by-step explanation:
Area of a trapezoid = (base + base / 2) x height
180 km^2 = (4 + 14 / 2) x height
180 km^2 = (18 / 2) x height
180 km^2 = 9 x height
height = 20 km
(fill in the numbers and work backwards)
Determine if each proportion is true or false
5/6= 15/18
3/5 = 60/100
20/14 =10/7
4/13= 10/32
Answer:
True
True
True
False
Step-by-step explanation:
15/18 simplified is 5/6
3/5 multiply both numerator and denominator by 20 to get 60/100
20/14 simplified is 10/7
4/13 multiply both by 2.5 to get 10/32.5 and 32.5 does not equal 32
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}=\frac{15}{18}[/tex]
Cross multiply
5 *18 = 15 *6
90 = 90
True. They are in proportion
[tex]\frac{3}{5}=\frac{60}{100}[/tex]
Cross multiply
3*100 = 60 *5
300 = 300
True. They are in proportion
[tex]\frac{20}{14}=\frac{10}{7}[/tex]
Cross multiply
20*7 = 10*14
140 = 140
True. They are in proportion
[tex]\frac{4}{13}=\frac{10}{32}[/tex]
Cross multiply
4*32 = 10*13
128 ≠ 130
False. They are NOT in proportion
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Answer:
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Step-by-step explanation:
Given
[tex]n = 200[/tex]
[tex]x_1 = 34[/tex] -- City C
[tex]x_2 = 54[/tex] --- City K
Required
Determine the 90% confidence interval
This is calculated using:
[tex]CI = \bar x \± z\frac{\sigma}{\sqrt n}[/tex]
Calculating [tex]\bar x[/tex]
[tex]\bar x = \bar x_1 - \bar x_2[/tex]
[tex]\bar x = \frac{x_1}{n} - \frac{x_2}{n}[/tex]
[tex]\bar x = \frac{34}{200} - \frac{54}{200}[/tex]
[tex]\bar x = 0.17 - 0.27[/tex]
For a 90% confidence level, the z-score is 1.65. So:
[tex]z = 1.65[/tex]
Calculating the standard deviation [tex]\sigma[/tex]
[tex]\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }[/tex]
So:
[tex]\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }[/tex]
[tex]\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}[/tex]
So:
[tex]CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}[/tex]
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Rafael is training for a triathlon, which includes swimming, biking, and running. The graph shows the total hours he spent swimming over the first 4 weeks of his training. Swim Training 0 Is the relationship between the time spent swimming and the number of weeks proportional? Complete the statements. 30 27 The points ? a straight line that 24 21 ? 4 through the origin. 18 Time (h) 15 12 6 3 0 1 2 3 4 5 6 7 8 9 10 0
Answer:
For people that are doing this lesson on I-Ready
The points Lie on a straight line that goes through the origin.
The graph shows a relationship that is Proportional.
Step-by-step explanation:
Answer:
Step-by-step explanation:
lie on
goes
The number of crayons in a box is forty
less than twice the number of markers.
Together, there are 140 coloring tools.
How many are crayons?
There are 80 Crayons.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number of crayons in a box is forty less than twice the number of markers.
let the number of markers be x.
So, Number of Crayons = 2x- 40
and, there are 140 coloring tools.
x+ 2x- 40= 140
3x = 180
x= 60
So, Number of Crayons = 2(60) - 40 = 120- 40= 80
Hence, there are 80 Crayons.
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k2 is a
a. monomial
b. binomial
c. trinomial
monomial
Step-by-step explanation:
k2 is a monomial because having only one element is monomial
MEMO
To: All businesses in Simpsons Square Mall
From: Louise Pembrooke, Simpsons Square Mall Manager
Re: New garbage collection rules
Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.
Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.
You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:
10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.
Answer:
hhhhhh
Step-by-step explanation:
i think it is 40